The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  X  X  3  X  X  6  1  1  1  1  1  1  1  1
 0  X 2X  3 X+6 2X+3  6 X+3 2X+6  0 X+6 2X  3 X+3 2X+3  6  X 2X+6  0 X+6 2X  3 X+3 2X+3  6  X 2X+6 X+6 2X  X X+3 2X+3  X  X 2X+6  X  0  3  6 X+6 X+3  X  0  3

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+12x^87+216x^88+8x^90+2x^96+4x^105

The gray image is a code over GF(3) with n=396, k=5 and d=261.
This code was found by Heurico 1.16 in 0.0199 seconds.